3+2/3x=7-6x

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Solution for 3+2/3x=7-6x equation:



3+2/3x=7-6x
We move all terms to the left:
3+2/3x-(7-6x)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We add all the numbers together, and all the variables
2/3x-(-6x+7)+3=0
We get rid of parentheses
2/3x+6x-7+3=0
We multiply all the terms by the denominator
6x*3x-7*3x+3*3x+2=0
Wy multiply elements
18x^2-21x+9x+2=0
We add all the numbers together, and all the variables
18x^2-12x+2=0
a = 18; b = -12; c = +2;
Δ = b2-4ac
Δ = -122-4·18·2
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{12}{36}=1/3$

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